Prove that the value of the determinant ∣∣−75+3i32−4i5−3i84+5i32+4i4−fi9∣∣ is real.

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Prove that the value of the determinant {|-{7}{5}+{3}{i}{{2}}{

Question

Prove that the value of the determinant $∣ ∣ - 75 + 3 i \frac{2}{3} - 4 i 5 - 3 i 84 + 5 i \frac{2}{3} + 4 i 4 - f i 9 ∣ ∣$ is real.

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Prove that the value of the determinant

∣ ∣ - 75 + 3 i \frac{2}{3} - 4 i 5 - 3 i 84 + 5 i \frac{2}{3} + 4 i 4 - f i 9 ∣ ∣

is real.

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Question Text

Prove that the value of the determinant

∣ ∣ - 75 + 3 i \frac{2}{3} - 4 i 5 - 3 i 84 + 5 i \frac{2}{3} + 4 i 4 - f i 9 ∣ ∣

is real.